87.29 is what percent of 1400 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1400 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 1400, so we can write it down as 100%=1400.
4. We know, that x% equals 87.29 of the output value, so we can write it down as x%=87.29.
5. Now we have two simple equations:
1) 100%=1400
2) x%=87.29
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=1400/87.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.29 is what percent of 1400

100%/x%=1400/87.29
(100/x)*x=(1400/87.29)*x       - we multiply both sides of the equation by x
100=16.038492381716*x       - we divide both sides of the equation by (16.038492381716) to get x
100/16.038492381716=x
6.235=x
x=6.235

now we have:
87.29 is 6.235% of 1400